Question

hcf of 345 and 70 of hcf​

Answer 1

Given: The numbers are$345 \ and\ 70$.

We have to find the HCF of$345 \ and\ 70$.

• For this, we will first find the factors of the above numbers.
• And then the largest positive integer that divides each of the integers will be the HCF of the above numbers.

We are solving in the following way:

We have,

The numbers are$345 \ and\ 70$.

The factors of $70$ are: $1, 2, 5, 7, 10, 14, 35, 70$

The factors of $345$are: $1, 3, 5, 15, 23, 69, 115, 345$

Then the greatest common factor is$5$.

Hence, the HCF of$345 \ and\ 70$ is$5$.

Answer 2

In context to questions asked,

We have to determine the value of HCF of 70 and 345

As we know that,

HCF of two or more numbers is the highest number which is common factor of given number.

So we will use prime factorisation for determining the value of HCF of given number.

So, prime factorisation of given number,

$70 = 2 \times 5 \times 7 \\ 345 = 5 \times 3 \times 23 \\ hcf \: = 5 \: common \: number$

Hence, HCF of given number will be 5